CPhill

And for those who paid close attention........

In "The Wizard of Oz,"   the scarecrow - after getting a "brain" from the Wizard - states:

"The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side."

It sounds convincing when he says it......but it's wrong.......

Proof of Pythagorean Theorem using similar triangles:

Let ABC be a right triangle with altitude BD

Then by similar triangles,

ABD ≈ ACB  ⇒ (AD/AB = AB/AC) ⇒ ( AB² = AD*AC)

DBC ≈ BAC  ⇒ (DC/CB = CB/AC) ⇒ ( CB² = DC*AC)

Adding the expressions in the parentheses we have,

AB² + BC² = AD*AC + AC*DC

AB² + BC² = AC(AD + DC)

AB² + BC² = AC(AC)

AB² + BC² = AC² 

BTW.....There is little historical evidence that Pythagoras ever had much to do with his own "Theorem" ......

Hit the "2nd" button and you'll see "atan"

This is the same as tan^-1

They're both known as the tangent inverse or the arctangent

So...I'm guessing you want to find the sine of some angle in the first quadrant having a value of .45??

Using the sine inverse, we have

asin(.45)  = 26.7°

P.S....I think that "symbol" you're referring to might look like this ...θ......it's referred to as "theta" and usually represents some angle in trigonometry......

Yeah...we couldn't be that fortunate, huh??

I'm thinking he was on that plane...and maybe he doesn't ski, either......

Mmmmmmm......maybe we've solved a forum "problem"

(At least there's about a 58% chance of it....)

But 2/3 = 66%

That leaves 1/3 chance = 33% = that we might not be!!

I say...let's call in the "troll" as a referee.....HE KNOWS ALL !!!

LOL!!

OK...I'll bite....what's the punchline??

HAHA!!!...and 57 minutes ago...you were looking for someone who knew what they were doing!!! (an arbitrator, I believe??)

Are we "sure" our answers are correct??

(Actually....I think they might be)

GL's theory is like that of a magician being asked to explain a trick...."I just do 'em, I don't explain 'em!!!"